Do the columns of A span R4? Does the equation Ax = b have a solution for each b in R*? 1 4 8 - 13 2 -8 A = 1 5 - 9 -2 -8 - 16 22 Do the columns of A span R*? Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or decimal for each matrix element.) O A. Yes, because the reduced row echelon form of A is B. No, because the reduced row echelon form of A is. Does the equation Ax = b have a solution for each b in R4? O A. Yes, because A does not have a pivot position in every row. O B. Yes, because the columns of A span R*. C. No, because A has a pivot position in every row. O D. No, because the columns of A do not span 3.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.4: Similarity And Diagonalization
Problem 40EQ
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Do the columns of A span R4? Does the equation Ax = b have a solution for each b in R*?
1
4
8
- 13
2
-8
A =
1
5
- 9
-2 -8 - 16
22
Do the columns of A span R*? Select the correct choice below and fill in the answer box to complete your choice.
(Type an integer or decimal for each matrix element.)
O A. Yes, because the reduced row echelon form of A is
O B. No, because the reduced row echelon form of A is.
Does the equation Ax = b have a solution for each b in R4?
O A. Yes, because A does not have a pivot position in every row.
О В.
Yes, because the columns of A span R*.
C. No, because A has a pivot position in every row.
O D.
No, because the columns of A do not span
3.
Transcribed Image Text:Do the columns of A span R4? Does the equation Ax = b have a solution for each b in R*? 1 4 8 - 13 2 -8 A = 1 5 - 9 -2 -8 - 16 22 Do the columns of A span R*? Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or decimal for each matrix element.) O A. Yes, because the reduced row echelon form of A is O B. No, because the reduced row echelon form of A is. Does the equation Ax = b have a solution for each b in R4? O A. Yes, because A does not have a pivot position in every row. О В. Yes, because the columns of A span R*. C. No, because A has a pivot position in every row. O D. No, because the columns of A do not span 3.
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